和正八面體OHP投影類似,二十面體投影(ISP,Icosahedron projection format)采用二十面體作為投影模型。ISP也支援緊湊型和非緊湊型兩種展開方式,圖1中左側為緊湊型,右側為非緊湊型。
![](https://img.laitimes.com/img/__Qf2AjLwojIjJCLyojI0JCLiQDOxEzX3xCZlhXam9VbsUmepNXZy9CXwJWZ3xCdh1mcvZ2Lc1zaHRGcWdUYuVzVa9GczoVdG1mWfVGc5RHLwIzX39GZhh2csATMflHLwEzX4xSZz91ZsAzMfRHLGZkRGZkRfJ3bs92YskmNhVTYykVNQJVMRhXVEF1X0hXZ0xiNx8VZ6l2cssmch1mclRXY39CXldWYtlWPzNXZj9mcw1ycz9WL49zZuBnLwYDO3EmMhRzN4ImMkJGMyYzX4ADMyADM2EzLcJDMyIDMy8CXn9Gbi9CXzV2Zh1WavwVbvNmLvR3YxUjLyM3Lc9CX6MHc0RHaiojIsJye.png)
圖1 ISP投影
ISP的二十面體有12個角和20個面,表1是ISP中個角在XYZ坐标系中的定義,表2是各面的定義。
表1 ISP中角的定義
角 | 非緊湊型 | 緊湊型 |
V0 | (1,c,0) | (0,1.902,0) |
V1 | (-1,c,0) | (0.526,0.851,1.618) |
V2 | (1,-c,0) | (−0.526,−0.851, −1.618) |
V3 | (-1,-c,0) | (0,−1.902, 0) |
V4 | (0,1,c) | (1.701,0.851, 0) |
V5 | (0,-1,c) | (1.376,−0.851, −1) |
V6 | (0,1,-c) | (−1.376,0.851, 1) |
V7 | (0,-1,-c) | (−1.701,−0.851, 0) |
V8 | (c,0,1) | (0.526,0.851, −1.618) |
V9 | (c,0,-1) | (−1.376,0.851, −1) |
V10 | (-c,0,1) | (1.376,−0.851, 1) |
V11 | (-c,0,-1) | (−0.526,0.851, 1.618) |
其中
表2 ISP中面的定義
面的索引 | 非緊湊型 | 緊湊型 |
{V0,V8, V9} | {V8,V9, V0} | |
1 | {V2,V9, V8} | {V2,V9, V8} |
2 | {V0,V9, V6} | {V0,V9, V6} |
3 | {V7,V6, V9} | {V7,V6, V9} |
4 | {V0,V6, V1} | {V6,V1, V0} |
5 | {V11,V1, V6} | {V11,V1, V6} |
6 | {V0,V1, V4} | {V4,V0, V1} |
7 | {V10,V4, V1} | {V10,V4, V1} |
8 | {V0,V4, V8} | {V0,V4, V8} |
9 | {V5,V8, V4} | {V5,V8, V4} |
10 | {V3,V10, V11} | {V3,V10, V11} |
11 | {V1,V11, V10} | {V1,V11, V10} |
12 | {V3,V5, V10} | {V10,V3, V5} |
13 | {V4,V10, V5} | {V4,V10, V5} |
14 | {V3,V2, V5} | {V2,V5, V3} |
15 | {V8,V5, V2} | {V8,V5, V2} |
16 | {V8,V5, V2} | {V3,V7, V2} |
17 | {V9,V2, V7} | {V9,V2, V7} |
18 | {V3,V11, V7} | {V11,V7, V3} |
19 | {V6,V7, V11} | {V6,V7, V11} |
Frame Packing
ISP支援兩種frame packing方式:緊湊型和非緊湊型。
圖2 ISP frame packing方式